Question 1.16: A body temperature above 107 °F can be fatal. What does 107 ...

Fundamentals of General, Organic and Biological Chemistry in SI Units

A body temperature above 107 °F can be fatal. What does 107 °F correspond to on the Celsius scale?
ANALYSIS Using the temperature (in °F) and the appropriate temperature conversion equation, we can convert from the Fahrenheit scale to the Celsius scale.
BALLPARK ESTIMATE Note that in Figure 1.9 the normal body temperature is 98.6 °F or 37 °C. A temperature of 107 °F is approximately 8 °F above normal; since 1 °C is nearly 2 °F then 8 °F is about 4 °C. Thus, the 107 °F body temperature is 41 °C.

Fig 1,9

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STEP 1: Identify known information.	Temperature = 107 °F
STEP 2: Identify answer and units.	Temperature = ?? °C
STEP 3: Identify conversion factors. We can convert from °F to °C using this equation.	$°C = (\frac { °C}{ 1.8 °\cancel{F} }) (°\cancel{F} – 32 °\cancel{F} )$
STEP 4: Solve. Substitute the known temperature (in °F) into the equation.	$°C = (\frac { °C}{ 1.8 °\cancel{F} } ) (107 °\cancel{F} – 32 °\cancel{F}) = 42 °C^{ *}$ (Rounded off from 41.666 667 °C)

BALLPARK CHECK Close to our estimate of 41 °C.
*It is worth noting that the 1.8 conversion factor in the equation is an exact conversion, and so it does not impact the number of significant figures in the final answer.

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